Question

The surgeon orders for 75 mg of a medication to be given IV push. The medication is available in a concentration of 125 mg/2 mL. You will administer ____mL to the patient. (record your answer using one decimal place)

Answer 1

To administer 75 mg of medication with a concentration of 125 mg/2 mL, you will need to administer 1.7 mL of the medication.

Step-by-step explanation:

To calculate the mL of medication to be administered, we can use the formula:
C₁V₁ = C₂V₂

In this case, C₁ is the concentration of the medication available which is 125 mg/2 mL. C₂ is the desired dosage of 75 mg. V₂ is not given, so we can write V₂ as the unknown variable x. V₁ represents the mL of medication to be administered.

Substituting the values into the formula:
125 mg/2 mL * V₁ = 75 mg * x

Solving for V₁:
V₁ = (75 mg * x) / (125 mg/2 mL)

Simplifying:
V₁ = (150 mg * x) / 125 mg

Canceling out the mg units gives:
V₁ = 1.2x mL

To find the value of x, we can use the equation:
75 mg * x = 125 mg/2 mL

Solving for x:
x = (125 mg/2 mL) / 75 mg

Simplifying:
x = (125/2) / 75

Substituting x back into the equation for V₁:
V₁ = 1.2 * (125/2) / 75

Simplifying gives:
V₁ = 1.2 * 62.5 / 75

Calculating:
V₁ = 1.68 mL

Therefore, you will administer 1.7 mL of the medication to the patient.